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The Resource Mathematics of Multiscale Materials, edited by Kenneth M. Golden, Geoffrey R. Grimmett, Richard D. James, Graeme W. Milton, Pabitra N. Sen, (electronic resource)
Mathematics of Multiscale Materials, edited by Kenneth M. Golden, Geoffrey R. Grimmett, Richard D. James, Graeme W. Milton, Pabitra N. Sen, (electronic resource)
Resource Information
The item Mathematics of Multiscale Materials, edited by Kenneth M. Golden, Geoffrey R. Grimmett, Richard D. James, Graeme W. Milton, Pabitra N. Sen, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Mathematics of Multiscale Materials, edited by Kenneth M. Golden, Geoffrey R. Grimmett, Richard D. James, Graeme W. Milton, Pabitra N. Sen, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 Polycrystalline metals, porous rocks, colloidal suspensions, epitaxial thin films, gels, foams, granular aggregates, sea ice, shapememory metals, magnetic materials, and electrorheological fluids are all examples of materials where an understanding of the mathematics on the different length scales is a key to interpreting their physical behavior. In their analysis of these media, scientists coming from a number of disciplines have encountered similar mathematical problems, yet it is rare for researchers in the various fields to meet. The 19951996 program at the Institute for Mathematics and its Applications was devoted to Mathematical Methods in Material Science, and was attended by materials scientists, physicists, geologists, chemists engineers, and mathematicians. The present volume contains chapters which have emerged from four of the workshops held during the year, focusing on the following areas: Disordered Materials; Interfaces and Thin Films; Mechanical Response of Materials from Angstroms to Meters; and Phase Transformation, Composite Materials and Microstructure. The scales treated in these workshops ranged from the atomic to the microstructural to the macroscopic, the microstructures from ordered to random, and the treatments from "purely" theoretical to the highly applied. Taken together, these works form a compelling and broad account of many aspects of the science of multiscale materials, and will hopefully inspire research across the selfimposed barriers of twentieth century science
 Language

 eng
 eng
 Edition
 1st ed. 1998.
 Extent
 1 online resource (X, 287 p.)
 Note
 "With 75 illustrations."
 Contents

 Scaling limit for the incipient spanning clusters
 Bounded and unbounded level lines in twodimensional random fields
 Transversely isotropic poroelasticity arising from thin isotropic layers
 Bounds on the effective elastic properties of martensitic polycrystals
 Statistical models for fracture
 Normal and anomalous diffusions in random flows
 Calculating the mechanical properties of materials from interatomic forces
 Granular media: some new results
 Elastic freedom in cellular solids and composite materials
 Weakly nonlinear conductivity and flicker noise near percolation
 Fine properties of solutions to conductivity equations with applications to composites
 Composite sensors and actuators
 Bounding the effective yield behavior of mixtures
 Upper bounds on electrorheological properties
 On spatiotemporal patterns in composite reactive media
 Equilibrium shapes of islands in epitaxially strained solid films
 Numerical simulation of the effective elastic properties of a class of cell materials
 Isbn
 9781461217282
 Label
 Mathematics of Multiscale Materials
 Title
 Mathematics of Multiscale Materials
 Statement of responsibility
 edited by Kenneth M. Golden, Geoffrey R. Grimmett, Richard D. James, Graeme W. Milton, Pabitra N. Sen
 Language

 eng
 eng
 Summary
 Polycrystalline metals, porous rocks, colloidal suspensions, epitaxial thin films, gels, foams, granular aggregates, sea ice, shapememory metals, magnetic materials, and electrorheological fluids are all examples of materials where an understanding of the mathematics on the different length scales is a key to interpreting their physical behavior. In their analysis of these media, scientists coming from a number of disciplines have encountered similar mathematical problems, yet it is rare for researchers in the various fields to meet. The 19951996 program at the Institute for Mathematics and its Applications was devoted to Mathematical Methods in Material Science, and was attended by materials scientists, physicists, geologists, chemists engineers, and mathematicians. The present volume contains chapters which have emerged from four of the workshops held during the year, focusing on the following areas: Disordered Materials; Interfaces and Thin Films; Mechanical Response of Materials from Angstroms to Meters; and Phase Transformation, Composite Materials and Microstructure. The scales treated in these workshops ranged from the atomic to the microstructural to the macroscopic, the microstructures from ordered to random, and the treatments from "purely" theoretical to the highly applied. Taken together, these works form a compelling and broad account of many aspects of the science of multiscale materials, and will hopefully inspire research across the selfimposed barriers of twentieth century science
 Dewey number
 006.3
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt

 z2GQ3xec6qs
 hLK4_SoUoA
 loWXBzimvdw
 byUnPdX2sMI
 wFUPdGH0ucA
 Image bit depth
 0
 Language note
 English
 LC call number
 Q342
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Golden, Kenneth M.
 Grimmett, Geoffrey R.
 James, Richard D.
 Milton, Graeme W.
 Sen, Pabitra N.
 Series statement
 The IMA Volumes in Mathematics and its Applications,
 Series volume
 99
 http://library.link/vocab/subjectName

 Engineering
 Chemistry
 Statistics
 Computational Intelligence
 Math. Applications in Chemistry
 Statistics, general
 Label
 Mathematics of Multiscale Materials, edited by Kenneth M. Golden, Geoffrey R. Grimmett, Richard D. James, Graeme W. Milton, Pabitra N. Sen, (electronic resource)
 Note
 "With 75 illustrations."
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 Scaling limit for the incipient spanning clusters  Bounded and unbounded level lines in twodimensional random fields  Transversely isotropic poroelasticity arising from thin isotropic layers  Bounds on the effective elastic properties of martensitic polycrystals  Statistical models for fracture  Normal and anomalous diffusions in random flows  Calculating the mechanical properties of materials from interatomic forces  Granular media: some new results  Elastic freedom in cellular solids and composite materials  Weakly nonlinear conductivity and flicker noise near percolation  Fine properties of solutions to conductivity equations with applications to composites  Composite sensors and actuators  Bounding the effective yield behavior of mixtures  Upper bounds on electrorheological properties  On spatiotemporal patterns in composite reactive media  Equilibrium shapes of islands in epitaxially strained solid films  Numerical simulation of the effective elastic properties of a class of cell materials
 Dimensions
 unknown
 Edition
 1st ed. 1998.
 Extent
 1 online resource (X, 287 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781461217282
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781461217282
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000089675
 (SSID)ssj0001297600
 (PQKBManifestationID)11861118
 (PQKBTitleCode)TC0001297600
 (PQKBWorkID)11229112
 (PQKB)11699549
 (DEHe213)9781461217282
 (MiAaPQ)EBC3076822
 (EXLCZ)993400000000089675
 Label
 Mathematics of Multiscale Materials, edited by Kenneth M. Golden, Geoffrey R. Grimmett, Richard D. James, Graeme W. Milton, Pabitra N. Sen, (electronic resource)
 Note
 "With 75 illustrations."
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 Scaling limit for the incipient spanning clusters  Bounded and unbounded level lines in twodimensional random fields  Transversely isotropic poroelasticity arising from thin isotropic layers  Bounds on the effective elastic properties of martensitic polycrystals  Statistical models for fracture  Normal and anomalous diffusions in random flows  Calculating the mechanical properties of materials from interatomic forces  Granular media: some new results  Elastic freedom in cellular solids and composite materials  Weakly nonlinear conductivity and flicker noise near percolation  Fine properties of solutions to conductivity equations with applications to composites  Composite sensors and actuators  Bounding the effective yield behavior of mixtures  Upper bounds on electrorheological properties  On spatiotemporal patterns in composite reactive media  Equilibrium shapes of islands in epitaxially strained solid films  Numerical simulation of the effective elastic properties of a class of cell materials
 Dimensions
 unknown
 Edition
 1st ed. 1998.
 Extent
 1 online resource (X, 287 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781461217282
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781461217282
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000089675
 (SSID)ssj0001297600
 (PQKBManifestationID)11861118
 (PQKBTitleCode)TC0001297600
 (PQKBWorkID)11229112
 (PQKB)11699549
 (DEHe213)9781461217282
 (MiAaPQ)EBC3076822
 (EXLCZ)993400000000089675
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Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/MathematicsofMultiscaleMaterialseditedby/U6DIqe8JL3c/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/MathematicsofMultiscaleMaterialseditedby/U6DIqe8JL3c/">Mathematics of Multiscale Materials, edited by Kenneth M. Golden, Geoffrey R. Grimmett, Richard D. James, Graeme W. Milton, Pabitra N. Sen, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>